You wish to test the following claim (Ha) at a significance level of a Ho: p > p2 Ha: P1 P2 You obtain a sample from the first population with 284 successes and 12 failures. You obtain a sample from the second population with 774 successes and 6 failures. The p-value is... less than (or equal to) a greater than a test statistic = p-value = This test statistic leads to a decision to... reject the null hypothesis O fail to reject the null hypothesis [three decimal accuracy] 0.10. [four decimal accuracy]

You wish to test the following claim (H.) at a significance level of a = 0.005. You believe both populations are normally distributed, but you do not know the standard deviations for either. And you have no reason to believe the variances of the two populations are equal You obtain a sample - 19.1 from the first population. 7.1 from of size ni 23 with a mean of a1 You obtain a sample of size n2 the second population. 86.6 and a standard deviation of s1 20 with a mean of r2 96.5 and a standard deviation of s2 = a. What is the test statistic for this sample? test statistic = Round to 3 decimal places. b. What is the p-value for this sample? For this calculation, use p-value Use Technology Round to 4 decimal places.

5. In a certain county, the local newspaper reports that the average family income for that county is $45,000. Economists at the university believe that first-time home buyers have an average family income which is higher than this. Which of the following hypotheses would be appropriate for a significance test? Ho: u= 45, 000 Ha: µ# 45, 000 b. H.: u= 45, 000 Ha: µ> 45, 000 H.: u= 45, 000 Ha: u 45, 000 Ha: u = 45, 000 a. C. е.

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You wish to test the following claim (Ha) at a significance level of a = Ho: P₁ = P2 Ha: P₁ P2 You obtain a sample from the first population with 120 successes and 403 failures. You obtain a sample from the second population with 39 successes and 278 failures. The test statistic is... in the critical region O not in the critical region critical value = ± test statistic = This test statistic leads to a decision to... reject the null hypothesis fail to reject the null hypothesis = 0.005. O There is not sufficient evidence to support second population proportion. [three decimal accuracy] [three decimal accuracy] As such, the final conclusion is that... There is sufficient evidence to support that the first population proportion is not equal to the second population proportion. first population proportion not equal to the

You wish to test the following claim (Ha) at a significance level of a = 0.002. Ho: P₁ P2 Ha P₁ P2 : You obtain a sample from the first population with 523 successes and 107 failures. You obtain a sample from the second population with 268 successes and 40 failures. test statistic = p-value [three decimal accuracy] [four decimal accuracy]

Which part(s) is it reasonable to say that a. Factor A does not affect the mean of the response variable. b. Factor B does not affect the mean of the response variable. c. neither factor affects the mean of the response variable. Each graph in Fig. C.4 shows a plot of the cell means for a 2 × 2 ANOVA. For each part, using only the graphs, conjecture on the results of the three hypothesis tests. (Note: For convenience we have denoted the two levels of Factor A as A1 and A2.) FIGURE C.4

You wish to test the following claim (H) at a significance level of a = 0.001. Ho: 112 Ha:> H2 You obtain the following two samples of data. Sample #1 65.2 79.3 87.1 48.3 85.7 51.7 42.6 58.3 56.5 94.7 61.1 86.4 91.8 71 68.1 58.3 68.1 109.3 103.6 35 67.2 52.5 98.4 114.5 79.3 83.2 57.2 63.2 101.6 56.5 94.7 76.8 55.9 31.7 67.2 55.9 81 26.5 43.9 Sample #2 84.2 49.5 59.9 70.9 40.5 79.7 50.1 58.9 71.9 16.9 53.8 69.3 55.6 65.6 65.6 75.4 42.5 45.8 74.8 44.2 30.9 67.7 59.9 72.5 66.1 47.3 90.9 53.3 85.8 66.7 39.5 68.7 80.4 30.9 57.3 61.5 79.1 68,2 57.8 39.5 64.6 34.3 58.3 56.7 59.4 83.4 69.3 57.3 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.) p-value =

The data below show sport preference and age of participant from a random sample of members of a sports club. Is there evidence to suggest that they are related? Frequencies of Sport Preference and Age Swimming 85 ATTI Tennis Basketball 18-25 98 88 26-30 104 100 46 31-40 62 63 40 54 30 Over 40 63 What can be concluded at the = 0.10 significance level? a. What is the correct statistical test to use? O Homogeneity O Paired t-test O Goodness-of-Fit O Independence b. What are the null and alternative hypotheses? Ho: O The age distribution is the same for each sport. The age distribution is not the same for each sport. O Age and sport preference are dependent. O Age and sport preference are independent. H1: O Age and sport preference are independent. O The age distribution is not the same for each sport. O Age and sport preference are dependent. O The age distribution is the same for each sport.

Mitchell works in the produce section at a small local supermarket and would like to test whether the proportion of apples people purchase is the same for each season, using a significance level of 0.05. He analyzes the apple purchases each season for a year and records his findings in the following table. Season Spring Summer Fall Winter Total # of apples purchased 1023 1023 1066 1151 4263 (a) In performing this statistical test, state the hypotheses. H0: the observed number of apples people purchased is the same for each season vs. HA: the observed number of apples people purchased is not the same for each season H0: the distribution of apples people purchased is not the same for each season vs. HA: the distribution of apples people purchased is the same for each season H0: the proportion of customers is the same each season vs. HA: the proportion of customers is not the same each season H0: the total number of apples people purchased is not the same for each season vs. HA:…